2,572,988

2² × 11 × 58477

2,572,988 factors as 2^2 × 11 × 58477. Its 12 positive divisors give a proper-divisor sum of 2,339,164, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 58477

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,912,152

Proper Divisor Sum 2,339,164

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #2572981 ← → #2572993

Radix Representation

Decimal	2572988
Binary	1001110100001010111100 (22 bits)
Octal	0o11641274
Hexadecimal	0x2742BC

Divisor Catalog (12)

1 2 4 11 22 44 58,477 116,954 233,908 643,247 1,286,494 2,572,988

Collatz Trajectory (218 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,572,988 1,286,494 643,247 1,929,742 964,871 2,894,614 1,447,307 4,341,922 2,170,961 6,512,884 3,256,442 1,628,221 4,884,664 2,442,332 1,221,166 610,583 1,831,750 915,875 2,747,626 1,373,813 4,121,440 2,060,720 1,030,360 515,180 257,590 128,795 386,386 193,193 579,580 289,790 144,895 434,686 217,343 652,030 326,015 978,046 489,023 1,467,070 733,535 2,200,606 1,100,303 3,300,910 1,650,455 4,951,366 2,475,683 7,427,050 3,713,525 11,140,576 5,570,288 2,785,144 1,392,572 696,286 348,143 1,044,430 522,215 1,566,646 783,323 2,349,970 1,174,985 3,524,956

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